Developments of researches for potentials between hadrons in Lattice QCD

• Project/Area Number: 16H03978
• Research Category: Grant-in-Aid for Scientific Research (B)
• Allocation Type: Single-year Grants
• Section: 一般
• Research Field: Particle/Nuclear/Cosmic ray/Astro physics
• Research Institution: Kyoto University
• Principal Investigator: Aoki Sinya 京都大学, 基礎物理学研究所, 教授 (30192454)
• Project Period (FY): 2016-04-01 – 2020-03-31
• Project Status: Completed (Fiscal Year 2021)
• Budget Amount: ¥17,550,000 (Direct Cost: ¥13,500,000、Indirect Cost: ¥4,050,000); Fiscal Year 2019: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000); Fiscal Year 2018: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000); Fiscal Year 2017: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000); Fiscal Year 2016: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
• Keywords: 格子QCD / ポテンシャル / HAL QCD法 / クォークの対生成消滅 / ρ中間子共鳴状態 / ππ散乱位相差 / 微分展開 / 非重心系でのポテンシャル / one-end-trick / ππ散乱の位相差 / 素粒子論 / 計算物理 / 理論核物理 / ハイブリッド法 / 対生成対消滅 / ρ共鳴状態 / All-to-all法 / ππ散乱 / LapH smearing / ハドロン間相互作用 / 共鳴状態 / クォーク対消滅 / 大規模数値計算

Outline of Final Research Achievements

We have developed a new method for all-to-all propagators which enables us to calculate HAL QCD potentials between hadrons including quark and antiquark pair creations and annihilations. The method is a combination of three techniques, the one-end trick, the sequential propagator and the covariant approximation averaging.
Using the method, we have calculated the non-local I=1 two pion potential at the next-to-next-to-leading order (NLLO) of the derivative expansion in lattice QCD, with which the I=1 two pion scattering phase shift is calculated as a function of the center of mass energy. While the phase shift from the NNLO potential reproduces the previous results at discrete energy points, our result continuously covers a much wider energy range, so　that we can extracted resonance parameters of the rho meson without any assumptions.
Potentials between an arbitrary combination of two hadrons can be extracted in lattice QCD by the new method.

Academic Significance and Societal Importance of the Research Achievements

クォークと反クォークの対生成消滅を含む場合のポテンシャルが計算可能になったことで、バリオン間だけでなく、メソン間やメソンーバリオン間など全ての組み合わせの相互作用が格子QCDで調べることができるようになった。このことは、クォークモデルでは記述できないエキゾチックなハドロンの存在やその性質を格子QCDで調べることが可能であることを意味しており、Λ(1405)などのその正体がよくわからなかった謎のハドロン達の正体が解明されることになる。
「ハドロンとはなんであるか」という究極の問いに対して、近い将来、QCDという第一原理からの解答が得られるかもしれない。

Research Products

• [Journal Article] Dibaryon with Highest Charm Number near Unitarity from Lattice QCD (2021)
  • Author(s): Lyu Yan、Tong Hui、Sugiura Takuya、Aoki Sinya、Doi Takumi、Hatsuda Tetsuo、Meng Jie、Miyamoto Takaya
  • Journal Title: Physical Review Letters Volume: 127 Issue: 7 Pages: 072003-072003
  • DOI: 10.1103/physrevlett.127.072003
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Emergence of the <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>ρ</mml:mi></mml:math> resonance from the HAL QCD potential in lattice QCD (2021)
  • Author(s): Akahoshi Yutaro、Aoki Sinya、Doi Takumi
  • Journal Title: Physical Review D Volume: 104 Issue: 5 Pages: 054510-054510
  • DOI: 10.1103/physrevd.104.054510
  • Peer Reviewed / Open Access
• [Journal Article] Derivative expansion in the HAL QCD method for a separable potential (2021)
  • Author(s): Aoki Sinya、Yazaki Koichi
  • Journal Title: Progress of Theoretical and Experimental Physics Volume: 2022 Issue: 3
  • DOI: 10.1093/ptep/ptab168
  • Peer Reviewed / Open Access
• [Journal Article] The HAL QCD potential in the I = 1 ππ system with the ρ meson bound state (2020)
  • Author(s): Akahoshi Yutaro、Aoki Sinya、Aoyama Tatsumi、Doi Takumi、Miyamoto Takaya、Sasaki Kenji
  • Journal Title: Progress of Theoretical and Experimental Physics Volume: 2020 Issue: 7 Pages: 0-15
  • DOI: 10.1093/ptep/ptaa087
  • Peer Reviewed / Open Access
• [Journal Article] Lattice QCD and Baryon-Baryon Interactions: HAL QCD Method (2020)
  • Author(s): Aoki Sinya、Doi Takumi
  • Journal Title: Frontiers in Physics Volume: 8 Pages: 307-307
  • DOI: 10.3389/fphy.2020.00307
  • Peer Reviewed / Open Access
• [Journal Article] d*(2380) dibaryon from lattice QCD (2020)
  • Author(s): Gongyo Shinya、Sasaki Kenji、Miyamoto Takaya、Aoki Sinya、Doi Takumi、Hatsuda Tetsuo、Ikeda Yoichi、Inoue Takashi、Ishii Noriyoshi
  • Journal Title: Physics Letters B Volume: 811 Pages: 135935-135935
  • DOI: 10.1016/j.physletb.2020.135935
  • Peer Reviewed / Open Access
• [Journal Article] S-wave kaon-nucleon potentials with all-to-all propagators in the HAL QCD method (2020)
  • Author(s): Murakami Kotaro、Akahoshi Yutaro、Aoki Sinya
  • Journal Title: Progress of Theoretical and Experimental Physics Volume: 2020 Issue: 9 Pages: 0-13
  • DOI: 10.1093/ptep/ptaa118
  • Peer Reviewed / Open Access
• [Journal Article] Partial wave decomposition on the lattice and its applications to the HAL QCD method (2020)
  • Author(s): Miyamoto Takaya、Akahoshi Yutaro、Aoki Sinya、Aoyama Tatsumi、Doi Takumi、Gongyo Shinya、Sasaki Kenji
  • Journal Title: Physical Review D Volume: 101 Issue: 7 Pages: 074514-074514
  • DOI: 10.1103/physrevd.101.074514
  • NAID: 120006878541
  • Peer Reviewed / Open Access
• [Journal Article] Hermitizing the HAL QCD potential in the derivative expansion (2020)
  • Author(s): S. Aoki, T. Iritani and K. Yazaki
  • Journal Title: Progress of Theoretical and Experimental Physics Volume: 2020
  • NAID: 120006878540
  • Peer Reviewed / Open Access
• [Journal Article] Lamda-Lamda and N-Xi interactions from Lattice QCD near the physical point (2020)
  • Author(s): Kenji Sasaki, Sinya Aoki, Takumi Doi, Shinya Gongyo, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Takumi Iritani, Noriyoshi Ishii, Keiko Murano, Takaya Miyamoto
  • Journal Title: Nuclear Physics Volume: A998 Pages: 121737-121737
  • DOI: 10.1016/j.nuclphysa.2020.121737
  • Peer Reviewed / Open Access
• [Journal Article] Consistency between L?scher’s finite volume method and HAL QCD method for two-baryon systems in lattice QCD (2019)
  • Author(s): Iritani Takumi、The HAL QCD collaboration、Aoki Sinya、Doi Takumi、Hatsuda Tetsuo、Ikeda Yoichi、Inoue Takashi、Ishii Noriyoshi、Nemura Hidekatsu、Sasaki Kenji
  • Journal Title: Journal of High Energy Physics Volume: 2019 Issue: 3 Pages: 1-31
  • DOI: 10.1007/jhep03(2019)007
  • Peer Reviewed / Open Access
• [Journal Article] ${\bf I=2} \boldsymbol{\pi\pi}$ potential in the HAL QCD method with all-to-all propagators (2019)
  • Author(s): Akahoshi Yutaro、Aoki Sinya、Aoyama Tatsumi、Doi Takumi、Miyamoto Takaya、Sasaki Kenji
  • Journal Title: Progress of Theoretical and Experimental Physics Volume: 2019 Issue: 8
  • DOI: 10.1093/ptep/ptz078
  • Peer Reviewed / Open Access
• [Journal Article] Systematics of the HAL QCD potential at low energies in lattice QCD (2019)
  • Author(s): Iritani Takumi、Aoki Sinya、Doi Takumi、Gongyo Shinya、Hatsuda Tetsuo、Ikeda Yoichi、Inoue Takashi、Ishii Noriyoshi、Nemura Hidekatsu、Sasaki Kenji、HAL QCD Collaboration
  • Journal Title: Physical Review D Volume: 99 Issue: 1 Pages: 1-13
  • DOI: 10.1103/physrevd.99.014514
  • NAID: 120006826697
  • Peer Reviewed / Open Access
• [Journal Article] NΩ dibaryon from lattice QCD near the physical point (2019)
  • Author(s): Iritani Takumi、Aoki Sinya、Doi Takumi、Etminan Faisal、Gongyo Shinya、Hatsuda Tetsuo、Ikeda Yoichi、Inoue Takashi、Ishii Noriyoshi、Miyamoto Takaya、Sasaki Kenji
  • Journal Title: Physics Letters B Volume: 792 Pages: 284-289
  • DOI: 10.1016/j.physletb.2019.03.050
  • NAID: 120006826708
  • Peer Reviewed / Open Access / Int'l Joint Research
• [Journal Article] Comment on “Relation between scattering amplitude and Bethe-Salpeter wave function in quantum field theory” (2018)
  • Author(s): Aoki Sinya、Doi Takumi、Hatsuda Tetsuo、Ishii Noriyoshi
  • Journal Title: Physical Review D Volume: 98 Issue: 3 Pages: 038501-038501
  • DOI: 10.1103/physrevd.98.038501
  • NAID: 120006826696
  • Peer Reviewed / Open Access
• [Journal Article] Asymptotic behavior of Nambu-Bethe-Salpeter wave functions for scalar systems with a bound state (2018)
  • Author(s): Sinya Gongyo and Sinya Aoki,
  • Journal Title: Progress of Theoretical and Experimental Physics Volume: 2018 Issue: 9
  • DOI: 10.1093/ptep/pty097
  • NAID: 120006826704
  • Peer Reviewed / Open Access
• [Journal Article] Most Strange Dibaryon from Lattice QCD (2018)
  • Author(s): Shinya Gongyo, Kenji Sasaki, Sinya Aoki, Takumi Doi, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Takumi Iritani, Noriyoshi Ishii, Takaya Miyamoto, Hidekatsu Nemura
  • Journal Title: Physical Review Letters Volume: 印刷中
  • NAID: 120006471160
  • Peer Reviewed
• [Journal Article] Λc N interaction from lattice QCD and its application to Λc hypernuclei (2018)
  • Author(s): T. Miyamoto, S. Aoki, T. Doi, S. Gongyo, T. Hatsuda, Y. Ikeda, T. Inoue, T. Iritani, N. Ishii, D. Kawai, K. Murano, H. Nemura and K. Sasaki (HAL QCD Collaboration)
  • Journal Title: Nucl. Phys. A Volume: 971 Pages: 113-113
  • DOI: 10.1016/j.nuclphysa.2018.01.015
  • Peer Reviewed / Open Access
• [Journal Article] $I=2$ $\pi\pi$ scattering phase shift from the HAL QCD method with the LapH smearing (2018)
  • Author(s): Daisuke Kawai, Sinya Aoki, Takumi Doi, Yoichi Ikeda, Takashi Inoue, Takumi Iritani, Noriyoshi Ishii, Takaya Miyamoto, Hidekatsu Nemura, Kenji Sasaki
  • Journal Title: Progress of Theoretical and Experimental Physics Volume: 2018 Issue: 4 Pages: 1-19
  • DOI: 10.1093/ptep/pty032
  • Peer Reviewed / Open Access
• [Journal Article] Are two nucleons bound in lattice QCD for heavy quark masses? Consistency check with L?scher’s finite volume formula (2017)
  • Author(s): Iritani Takumi、Aoki Sinya、Doi Takumi、Hatsuda Tetsuo、Ikeda Yoichi、Inoue Takashi、Ishii Noriyoshi、Nemura Hidekatsu、Sasaki Kenji、HAL QCD Collaboration
  • Journal Title: Physical Review D Volume: 96 Issue: 3 Pages: 034521-034521
  • DOI: 10.1103/physrevd.96.034521
  • Peer Reviewed / Open Access
• [Journal Article] Mirage in Temporal Correlation functions for Baryon-Baryon Interactions in Lattice QCD (2016)
  • Author(s): Takumi Iritani, Takumi Doi, Sinya Aoki, Shinya Gongyo, Tetsuo Hatsuda, Yoichi Ikeda, Takashi Inoue, Noriyoshi Ishii, Keiko Murano, Hidekatsu Nemura, Kenji Sasaki
  • Journal Title: JHEP Volume: 1610 Issue: 10 Pages: 101-101
  • DOI: 10.1007/jhep10(2016)101
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Journal Article] Fate of the Tetraquark Candidate Zc(3900) in Lattice QCD (2016)
  • Author(s): Yoichi Ikeda, Sinya Aoki, Takumi Doi, Shinya Gongyo, Tetsuo Hatsuda, Takashi Inoue, Takumi Iritani, Noriyoshi Ishii, Keiko Murano, Kenji Sasaki
  • Journal Title: Physical Review Leters Volume: 117 Issue: 24 Pages: 242001-242001
  • DOI: 10.1103/physrevlett.117.242001
  • NAID: 120006826715
  • Peer Reviewed / Open Access / Acknowledgement Compliant
• [Presentation] HAL QCD potentials with non-zero total momentum and application to the $I=2$ $\pi\pi$ scattering (2021)
  • Author(s): Sinya Aoki
  • Organizer: The 38th International Symposium on Lattice Field Theory (Lattice 2021)
  • Int'l Joint Research
• [Presentation] Recent progresses in the HAL QCD method for hadron interactions (2021)
  • Author(s): Sinya Aoki
  • Organizer: YITP workshop "QCD phase diagram and lattice QCD"
  • Int'l Joint Research / Invited
• [Presentation] Recent results for hadron interactions in the HAL QCD method (2021)
  • Author(s): Sinya Aoki
  • Organizer: BNL-HET & RBC Joint workshop "DWQCD@25"
  • Int'l Joint Research / Invited
• [Presentation] HAL QCD法の理論的課題の検討 (2019)
  • Author(s): 青木 慎也
  • Organizer: 日本物理学会大７４回年会
• [Presentation] Recent progress on theoretical and practical issues in HAL QCD method (2019)
  • Author(s): Sinya Aoki
  • Organizer: MOST/RIKEN workshop on ab initio theory in nuclear physics
  • Int'l Joint Research / Invited
• [Presentation] Some theoretical issues in HAL QCD method (2019)
  • Author(s): Sinya Aoki
  • Organizer: International Molecule-type Worksop "Frontier in Lattice QCD and related topics"
  • Int'l Joint Research / Invited
• [Presentation] Theoretical and practical progresses in the HAL QCD method (2019)
  • Author(s): Sinya Aoki
  • Organizer: The 37th International Symposium on Lattice Field Theory (Lattice 2019)
  • Int'l Joint Research
• [Presentation] Nuclear force from the potential method in lattice QCD (2019)
  • Author(s): Sinya Aoki
  • Organizer: INT program INT-19-2a "Nuclear Structure at the Crossroads"
  • Int'l Joint Research / Invited
• [Presentation] Lattice results on dibaryons and baryon-baryon interactions (2019)
  • Author(s): Sinya Aoki
  • Organizer: XVIII International Conference on Hadron Spectroscopy and Structure" (Hadron 2019)
  • Int'l Joint Research / Invited
• [Presentation] 計算素粒子物理学の挑戦 (2019)
  • Author(s): 青木 慎也
  • Organizer: 日本物理学会大７４回年会
  • Invited
• [Presentation] Hadron interactions from Lattice QCD (2018)
  • Author(s): Sinya Aoki
  • Organizer: International School of Nuclear Physics 40th course ``The Strong Interaction: From Quarks and Gluons to Nuclei and Stars"
  • Int'l Joint Research / Invited
• [Presentation] Two Baryon Systems in Lattice QCD (2018)
  • Author(s): Sinya Aoki
  • Organizer: nterface of Effective Field Theories and Lattice Gauge Theories
  • Int'l Joint Research / Invited
• [Presentation] Hadron interactions in Lattice QCD (2018)
  • Author(s): Sinya Aoki
  • Organizer: Second International Workshop ``Particles, Gravitation and the Universe" (PGU2018)
  • Int'l Joint Research / Invited
• [Presentation] 素粒子と宇宙 (2018)
  • Author(s): 青木 慎也
  • Organizer: Kyoto Forum 2018 "Circle of Emptiness and Wholeness「無と全体の輪廻」
  • Invited
• [Presentation] The fake plateau problem and normality checks in the direct method for two baryon systems (2018)
  • Author(s): Sinya Aoki
  • Organizer: INT workshop on ``Multi-Hadron Systems from Lattice QCD"
  • Int'l Joint Research / Invited
• [Presentation] Hadron interactions in lattice QCD --HAL QCD potential method -- (2018)
  • Author(s): Sinya Aoki
  • Organizer: Workshop of the Doktoratskolleg ``Hadrons in Vacuum, Nuclei and Stars"
  • Int'l Joint Research / Invited
• [Presentation] Sanity check for NN bound states in lattice QCD with Luscher's finite volume formula (2017)
  • Author(s): Sinya Aoki
  • Organizer: The 35rd International Symposium on Lattice Field Theory (Lattice 2017)
  • Int'l Joint Research
• [Presentation] HAL QCD method --approach and results -- (2017)
  • Author(s): Sinya Aoki
  • Organizer: Santa Fe Workshop on ``Lattice QCD"
  • Int'l Joint Research / Invited
• [Presentation] Hadron interactions in lattice QCD --HAL QCD potential method -- (2017)
  • Author(s): Sinya Aoki
  • Organizer: NCTS Annual Theory Meeting 2017: Particles, Cosmology and Strings
  • Int'l Joint Research / Invited
• [Presentation] Overview of the HAL QCD potential method and recent results (2016)
  • Author(s): Sinya Aoki
  • Organizer: INT Program INT 16-1 "Nuclear Physics from Lattice QCD"
  • Int'l Joint Research / Invited
• [Presentation] Luscher's finite volume test for two-baryon systems with attractive interactions (2016)
  • Author(s): Sinya Aoki
  • Organizer: The 34rd International Symposium on Lattice Field Theory (Lattice 2016)
  • Int'l Joint Research
• [Presentation] Current status for two baryon systems in lattice QCD (2016)
  • Author(s): Sinya Aoki
  • Organizer: KITP program ``Frontiers in Nuclear Physics"
  • Int'l Joint Research / Invited
• [Presentation] Lattice QCD approach to baryon interactions (2016)
  • Author(s): Sinya Aoki
  • Organizer: The conference ``Compact stars and gravitational waves"
  • Int'l Joint Research / Invited
• [Book] 格子QCDによるハドロン物理 (2017)
  • Author(s): 青木 慎也
  • Total Pages: 148
  • Publisher: 共立出版
  • ISBN: 9784320035331